r^2+10r-6=5

Solution for r^2+10r-6=5 equation:

Simplifying
r2 + 10r + -6 = 5

Reorder the terms:
-6 + 10r + r2 = 5

Solving
-6 + 10r + r2 = 5

Solving for variable 'r'.

Reorder the terms:
-6 + -5 + 10r + r2 = 5 + -5

Combine like terms: -6 + -5 = -11
-11 + 10r + r2 = 5 + -5

Combine like terms: 5 + -5 = 0
-11 + 10r + r2 = 0

Factor a trinomial.
(-11 + -1r)(1 + -1r) = 0

Subproblem 1
Set the factor '(-11 + -1r)' equal to zero and attempt to solve:

Simplifying
-11 + -1r = 0

Solving
-11 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '11' to each side of the equation.
-11 + 11 + -1r = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1r = 0 + 11
-1r = 0 + 11

Combine like terms: 0 + 11 = 11
-1r = 11

Divide each side by '-1'.
r = -11

Simplifying
r = -11
Subproblem 2
Set the factor '(1 + -1r)' equal to zero and attempt to solve:

Simplifying
1 + -1r = 0

Solving
1 + -1r = 0

Move all terms containing r to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1r = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1r = 0 + -1
-1r = 0 + -1

Combine like terms: 0 + -1 = -1
-1r = -1

Divide each side by '-1'.
r = 1

Simplifying
r = 1
Solution
r = {-11, 1}